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# Which of the following is NOT a point on the circle of radius 5 and

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Which of the following is NOT a point on the circle of radius 5 and  [#permalink]

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17 Nov 2018, 09:29
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45% (medium)

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65% (01:54) correct 35% (02:04) wrong based on 101 sessions

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Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

(A) (-1, 2)
(B) (8, -1)
(C) (0, -5)
(D) (6, 3)
(E) (7, -6)

Attachment:

CGEO.jpg [ 11.28 KiB | Viewed 1398 times ]

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Re: Which of the following is NOT a point on the circle of radius 5 and  [#permalink]

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20 Nov 2018, 09:51
We have to calculate the distance between O and each of the points.

We search for the one that is different than 5, because we want the point to be outside the circle.

The first 4 points lies on the circle, the last one NO.

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Re: Which of the following is NOT a point on the circle of radius 5 and  [#permalink]

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20 Nov 2018, 17:28
Top Contributor
CAMANISHPARMAR wrote:
Attachment:
CGEO.jpg

Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

(A) (-1, 2)
(B) (8, -1)
(C) (0, -5)
(D) (6, 3)
(E) (7, -6)

This is one of those questions that require us to check/test each answer choice.
In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than the top.

For more on this strategy, see my article: http://www.gmatprepnow.com/articles/han ... -questions

Cheers,
Brent
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Re: Which of the following is NOT a point on the circle of radius 5 and  [#permalink]

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21 Nov 2018, 05:36
CAMANISHPARMAR wrote:
Attachment:
CGEO.jpg

Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

(A) (-1, 2)
(B) (8, -1)
(C) (0, -5)
(D) (6, 3)
(E) (7, -6)

The general formula of a circle:

(x-h)^2 + (y-k)^2 = r^2....where h & k are coordinates of the origin.

Using center above:

(x-3)^2 + (y+1)^2 = 5^2

Apply as Brent says above:

(E) (7, -6).......(7-3)^2 + (-6+1)^2 = 16 + 25 = 31.........So it does NOT belong to the circle

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Re: Which of the following is NOT a point on the circle of radius 5 and  [#permalink]

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22 Nov 2018, 02:57
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CAMANISHPARMAR wrote:

Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

(A) (-1, 2)
(B) (8, -1)
(C) (0, -5)
(D) (6, 3)
(E) (7, -6)

Let´s translate the x axis 1 unit down ("y" goes "y+1") and the y axis 3 units to the right ("x" goes "x-3")

Doing so, the center of the circle given is now at the origin(!) and "extremal points" are re-coordenated as shown:

(A) (-1,2) goes to (-4,3)
(B) (8,-1) goes to (5, 0)
(C) (0,-5) goes to (-3, -4)
(D) (6,3) goes to (3,4)
(E) (7, -6) goes to (4, -5)

It is clear that point (4,-5) does not belong to the given circle!

(It is also clear that all other points are on the circumference of the given circle... think about 3,4,5!)

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Re: Which of the following is NOT a point on the circle of radius 5 and   [#permalink] 22 Nov 2018, 02:57